Poisson sampling for spectral estimation in periodically correlated processes

Vincent Monsan

Displaying similar documents to “Poisson sampling for spectral estimation in periodically correlated processes”

An asymptotic approximation of Wallis’ sequence

Vito Lampret (2012)

Open Mathematics

Similarity:

An asymptotic approximation of Wallis’ sequence W(n) = Πk=1n 4k 2/(4k 2 − 1) obtained on the base of Stirling’s factorial formula is presented. As a consequence, several accurate new estimates of Wallis’ ratios w(n) = Πk=1n(2k−1)/(2k) are given. Also, an asymptotic approximation of π in terms of Wallis’ sequence W(n) is obtained, together with several double inequalities such as, for example, $W (n) \cdot (a_{n} + b_{n}) < π < W (n) \cdot (a_{n} + b_{n}^{'})$ with $a_{n} = 2 + \frac{1}{2 n + 1} + \frac{2}{3 {(2 n + 1)}^{2}} - \frac{1}{3 n {(2 n + 1)}^{'}} b_{n} = \frac{2}{33 {(n + 1)}^{2^{'}}} b_{n}^{'} \frac{1}{13 n^{2^{'}}} n \in ℕ$ .

Canonical coordinates for coadjoint orbits of completely solvable groups.

Arnal, Didier, Ben Ammar, Mabrouk, Currey, Bradley N., Dali, Béchir (2005)

Journal of Lie Theory

Similarity:

Rademacher variables in connection with complex scalars.

Seigner, J.A. (1997)

Acta Mathematica Universitatis Comenianae. New Series

Similarity:

On the Kuramoto-Sivashinsky equation in a disk

Vladimir Varlamov (2000)

Annales Polonici Mathematici

Similarity:

We consider the first initial-boundary value problem for the 2-D Kuramoto-Sivashinsky equation in a unit disk with homogeneous boundary conditions, periodicity conditions in the angle, and small initial data. Apart from proving the existence and uniqueness of a global in time solution, we construct it in the form of a series in a small parameter present in the initial conditions. In the stable case we also obtain the uniform in space long-time asymptotic expansion of the constructed...